The title is the topic.
Was he messiah of the Jews, enlightened mystic, the avatar of God, or just the prophet of God?
I like what Riverwolf said here. Jesus was a wandering wise man.
Saviour of the world, false prophet, King of the Jews, or king of none?
I would consider him a savior in the same way that Martin Luther King Jr. could be seen as a savior. He was on a path that he knew had the potential to lead to his death, and a brutal death at that. This inspired a great many people, and has had a great impact on the world.
Now, I wouldn't say that he is the savior of the world in the sense many Christians hold it, as I don't think he is needed for salvation. He just offered one way to the end.
Did he die on the cross, or did God save him? Was he really born of a virgin? Is the resurrection a myth or just a metaphor?
He most likely died on the cross. I could see a possibility that he did somehow survive, but it is unlikely.
As for being born a virgin, no. It was just one more miraculous birth story to signify a "truth." Jesus was seen as important, so like many of important people, he was given a miraculous birth story.
The resurrection story was a little different. It was probably believed to be true. To rule it off as a myth simply does not do justice to the story. Something incredible occurred after Jesus died. It is very probable that the followers of Jesus believed he rose from the dead, and probably even believed they saw him. What exactly happened, that would be a discussion for another thread.
Something did happen though that caused a sincere belief that the general resurrection had begun.
Exactly who is/was this man Jesus?
Jesus was a faith healer from Galilee. He most likely was a disciple of John, and preached that the end was near, and that the Kingdom of God would soon replace the Kingdom of Earth (or specially, Rome). His teachings contained both words and deeds, and in the end, it was his deeds (the message he sent in the Temple) that eventually caused his death. Later on, because his followers were so devout, the movement continued and later turned into something else.